Question

The U.S. Olympic archery team is made up of five archers. Each member tracked his average score from his last ten practices and plotted them on the scatter plot below.

image

Which equation BEST models the data?

A.
y
=
−
5
2
x
+
50

B.
y
=
1
10
x
+
95

C.
y
=
5
2
x
+
50

D.
y
=
5
2
x
+
35

Answer 1

I can't see the scatter plot — could you upload the image or list the plotted points (x,y)?

If you want to decide it yourself, here's the quick method to pick the best equation from the four choices:

1. Estimate two points that lie on the trend (or two clear plotted points). Read their coordinates from the axes.
2. Compute the slope: m = (y2 − y1) / (x2 − x1).
3. Use one point to find the intercept: b = y − m x.
4. Match m and b to the options.

Example: if the trend goes through approximately (10, 60) and (30, 110),
- slope = (110 − 60) / (30 − 10) = 50 / 20 = 2.5
- intercept b: 60 = 2.5(10) + b → b = 35
So the best model would be y = (5/2)x + 35 (choice D).

Upload the plot or the point coordinates and I’ll pick the correct option for you.